Question

The ratio of measures of a triangle is 1 :2:1 . Find the measures of the angles.

Answer 1

let the angle be x 2x and x then the sum of the three angle in a triangle is 180 .then 4x=180 and x =45 two angle will be 45 and 45 and third will be 90

Answer 2

$\textbf{1x + 2x + 1x [ Angle sum property of a triangle ]}$

$4x = 180°$

$x = 45°$

∴ Angle,

$\: \: \: \: \: \: \: \: \: \: ⇒ \: \: \: \: \: \: \: \: \: \: 1 (1x) = 45°$

$\: \: \: \: \: \: \: \: \: \: ⇒ \: \: \: \: \: \: \: \: \: \: 2 (2x) = 90°$

$\: \: \: \: \: \: \: \: \: \: ⇒ \: \: \: \: \: \: \: \: \: \:3 ( 1x ) = 45°$